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256742480 = 2453209281
BaseRepresentation
bin11110100110110…
…01010001010000
3122220002212110202
433103121101100
51011211224410
641250514332
76235163231
oct1723312120
9586085422
10256742480
11121a19475
1271b959a8
1341263637
1426153088
1517816ca5
hexf4d9450

256742480 has 20 divisors (see below), whose sum is σ = 596926452. Its totient is φ = 102696960.

The previous prime is 256742471. The next prime is 256742509. The reversal of 256742480 is 84247652.

It can be written as a sum of positive squares in 2 ways, for example, as 200732224 + 56010256 = 14168^2 + 7484^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1604561 + ... + 1604720.

Almost surely, 2256742480 is an apocalyptic number.

256742480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256742480 is an abundant number, since it is smaller than the sum of its proper divisors (340183972).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256742480 is a wasteful number, since it uses less digits than its factorization.

256742480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3209294 (or 3209288 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 256742480 is about 16023.1857007276. The cubic root of 256742480 is about 635.5736894937.

The spelling of 256742480 in words is "two hundred fifty-six million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3209281 6418562 12837124 16046405 25674248 32092810 51348496 64185620 128371240 256742480